Machining stability in high-speed drilling—Part 1: Modeling vibration stability in bending

In this work, dynamic models for chatter in drilling are developed that deal with the transverse vibration due to bending, and the axial vibration due to torsion. In the first part, a dynamic model is developed to obtain the limit of stability for the bending vibration mode. The equations of motion are formulated based on a lumped representation of the drill, and the gyroscopic effect due to the rotation of the tool is included. It is shown that, including this gyroscopic effect has a profound effect on the resulting stability lobes, especially at very high speeds; it makes the lobes wider but at the same time lowers the minimum stability boundary. In the second part of this work, a time domain simulation model is developed that combines both bending and torsion modes. This model is verified [1] using experimental cutting tests.